Nonclassicality detection from few Fock-state probabilities
- URL: http://arxiv.org/abs/2007.10067v3
- Date: Mon, 17 Jan 2022 14:29:15 GMT
- Title: Nonclassicality detection from few Fock-state probabilities
- Authors: Luca Innocenti, Luk\'a\v{s} Lachman, Radim Filip
- Abstract summary: We devise a new class of criteria to certify the nonclassicality of photon- and phonon-number statistics.
Our criteria extend and strengthen the broadly used Klyshko's criteria, which require knowledge of only a finite set of Fock-state probabilities.
We show that our criteria detect a broad class of noisy Fock states as nonclassical, even when Klyshko's do not.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We devise a new class of criteria to certify the nonclassicality of photon-
and phonon-number statistics. Our criteria extend and strengthen the broadly
used Klyshko's criteria, which require knowledge of only a finite set of
Fock-state probabilities. This makes the criteria well-suited to experimental
implementation in realistic conditions. Moreover, we prove the completeness of
our method in some scenarios, showing that, when only two or three Fock-state
probabilities are known, it detects all finite distributions incompatible with
classical states. In particular, we show that our criteria detect a broad class
of noisy Fock states as nonclassical, even when Klyshko's do not. The method is
directly applicable to trapped-ion, superconducting circuits, and optical and
optomechanical experiments with photon-number resolving detectors. This work
represents a significant milestone towards a complete characterisation of the
nonclassicality accessible from limited knowledge of the Fock-state
probabilities.
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